REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS

Cilt: 1 Sayı: 1 1 Ocak 2018
A Sarman , N. Magesh , A. John Chrıstopher
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REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS

Öz

Analytical solution of highly nonlinear system of two dimensional Volterraintegral equations is studied by the reduced differential transform method [RDTM]. Wepresent a new property of RDTM to acquire the recursive relation which is used to getanalytical solution of the above mentioned two dimensional system. Results of the numerical examples obtained by RDTM are compared with the existing results obtainedby TDDTM. Though solutions obtained by RDTM and TDDTM are same, RDTM hassignificant advantage over TDDTM that is RDTM generates the solution of the nonlinearproblem by operating the multivariable function with respect to a desired variable onlynot on all of their independent variables unlike in TDDTM so that RDTM reduces thetime consumption than TDDTM

Anahtar Kelimeler

Reduced differential transform method,Volterra integral equations

Kaynakça

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Kaynak Göster

APA
Sarman, A., Magesh, N., & Chrıstopher, A. J. (2018). REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS. Journal of Advanced Mathematics and Mathematics Education, 1(1), 1-10. https://izlik.org/JA54NF77SS
AMA
1.Sarman A, Magesh N, Chrıstopher AJ. REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS. Journal of Advanced Mathematics and Mathematics Education. 2018;1(1):1-10. https://izlik.org/JA54NF77SS
Chicago
Sarman, A, N. Magesh, ve A. John Chrıstopher. 2018. “REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS”. Journal of Advanced Mathematics and Mathematics Education 1 (1): 1-10. https://izlik.org/JA54NF77SS.
EndNote
Sarman A, Magesh N, Chrıstopher AJ (01 Ocak 2018) REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS. Journal of Advanced Mathematics and Mathematics Education 1 1 1–10.
IEEE
[1]A. Sarman, N. Magesh, ve A. J. Chrıstopher, “REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS”, Journal of Advanced Mathematics and Mathematics Education, c. 1, sy 1, ss. 1–10, Oca. 2018, [çevrimiçi]. Erişim adresi: https://izlik.org/JA54NF77SS
ISNAD
Sarman, A - Magesh, N. - Chrıstopher, A. John. “REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS”. Journal of Advanced Mathematics and Mathematics Education 1/1 (01 Ocak 2018): 1-10. https://izlik.org/JA54NF77SS.
JAMA
1.Sarman A, Magesh N, Chrıstopher AJ. REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS. Journal of Advanced Mathematics and Mathematics Education. 2018;1:1–10.
MLA
Sarman, A, vd. “REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS”. Journal of Advanced Mathematics and Mathematics Education, c. 1, sy 1, Ocak 2018, ss. 1-10, https://izlik.org/JA54NF77SS.
Vancouver
1.A Sarman, N. Magesh, A. John Chrıstopher. REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS. Journal of Advanced Mathematics and Mathematics Education [Internet]. 01 Ocak 2018;1(1):1-10. Erişim adresi: https://izlik.org/JA54NF77SS